10468431360 has 640 divisors, whose sum is σ = 40304563200. Its totient is φ = 2565734400.

The previous prime is 10468431359. The next prime is 10468431371. The reversal of 10468431360 is 6313486401.

It is a happy number.

10468431360 is a `hidden beast` number, since 104 + 68 + 431 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69327285 + ... + 69327435.

It is an arithmetic number, because the mean of its divisors is an integer number (62975880).

Almost surely, 2^10468431360 is an apocalyptic number.

10468431360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10468431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152281600).

10468431360 is an abundant number, since it is smaller than the sum of its proper divisors (29836131840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10468431360 is a wasteful number, since it uses less digits than its factorization.

10468431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10468431360 in words is "ten billion, four hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty".